Strict vs loose equality has gotten me so many times, but I can sort of see why they did it. The problem you mention with integers 0 & 1 is a major annoyance though. Like it is fairly common to check whether a variable is populated by using if (variable) {} - if the variable happens to be an integer, and that integer happens to be 0, loose quality will reflect that as false.

But on the other side, there have been plenty of occasions where I'm expecting a boolean to come from somewhere and instead the data is passed as a text string. "true" == true but "true" !== true